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Finding the Fourth Proportional to 384,014.90, 576,022.35 and 362,242.10

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Solution

The fourth proportional to 384,014.90, 576,022.35 and 362,242.10 is: 543,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,014.90 : 576,022.35 = 362,242.10 : x
  2. Step 2: Convert to fraction form
    384,014.90/576,022.35 = 362,242.10/x
  3. Step 3: Cross multiply
    384,014.90x = 576,022.35 × 362,242.10
  4. Step 4: Simplify right side
    384,014.90x = 208,659,545,710.94
  5. Step 5: Solve for x
    x = 208,659,545,710.94/384,014.90
  6. Step 6: Final answer
    x = 543,363.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.